Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.
Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears f(A,B,C) : f(B,C,A) : f(C,A,B),
where f(A,B,C) = cos A - cos A cos B cos C
Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin A) f(A,B,C)
X(1040) lies on these lines:
1,3 2,33 4,1074 20,34 21,1039 63,212 78,345 226,990 243,1096 497,614 1068,1076X(1040) = isogonal conjugate of X(1041)
X(1040) = crosspoint of X(I) and X(J) for these (I,J): (21,332), (77,78)
X(1040) = crosssum of X(33) and X(34)